377416 ÷ 6 
We're looking to find how many times 6 goes into 377416.

Step 1:
When dividing 3 by 6, we get 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 6

Advancing to step 2:
When dividing 37 by 6, we get 6 with a remainder of 1.
The next digit of our result is 6. 
Result so far: 6.0
If we take 36 away from 37, we end up with 1.
Bring next digit (7) of the dividend behind the 1 and repeat the process: 17 / 6

Let's proceed to step 3:
If we divide 17 by 6, we get 2 and a remainder of 5.
The number 2 becomes the next digit in our result. 
Result so far: 62.0
If we take 12 away from 17, we end up with 5.
Append the next digit (4) from the dividend to 5 and continue with: 54 / 6

Going ahead to step 4:
If we divide 54 by 6, we get 9 and a remainder of 0.
Write down 9 as next digit of the result. 
Result so far: 629.0
Subtract 54 from 54 to get 0.
Take the next digit (1) from the dividend and append it to 0, then repeat: 1 / 6

Advancing to step 5:
6 can be fit into 1 0 times, resulting in a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 6290.0
If we subtract 0 from 1, we get 1.
Take the next digit (6) from the dividend and append it to 1, then repeat: 16 / 6

Let's proceed to step 6:
6 goes into 16 2 times with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 62902.0
If we take 12 away from 16, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
The number 6 fits into 40 6 times, leaving a remainder of 4.
Write down 6 as next digit of the result. 
Result so far: 62902.6
Subtract 36 from 40 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
6 goes into 40 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 62902.66
The remainder is 4 after subtracting 36 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

After the division, we end up with 62902.66 and a remainder of 0.004.